|
(restriction_continuous2
(sub_dom 0
(sub_dom-1 nil 3474623795
("" (lemma "sub_domain") (("" (grind) nil)) nil)
((T2 formal-subtype-decl nil restriction_continuous2 nil)
(T2_pred const-decl "[real -> boolean]" restriction_continuous2
nil)
(T1 formal-subtype-decl nil restriction_continuous2 nil)
(T1_pred const-decl "[real -> boolean]" restriction_continuous2
nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number nonempty-type-decl nil numbers nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(sub_domain formula-decl nil restriction_continuous2 nil))
nil))
(restrict2_TCC1 0
(restrict2_TCC1-1 nil 3474623795
("" (lemma "sub_dom") (("" (propax) nil)) nil)
((sub_dom formula-decl nil restriction_continuous2 nil)) nil))
(restrict_continuous2 0
(restrict_continuous2-2 nil 3474623805
("" (skosimp)
(("" (auto-rewrite "sub_dom")
(("" (expand "continuous?")
(("" (skolem!)
(("" (inst?)
(("" (expand "continuous?")
(("" (expand "restrict2")
(("" (skolem!)
(("" (inst -1 "epsilon!1")
(("" (skolem!)
(("" (inst 1 "delta!1")
(("" (skosimp)
(("" (inst?) (("" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((real_minus_real_is_real application-judgement "real" reals nil)
(continuous? const-decl "bool" continuous_functions nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(restrict2 const-decl "[T1 -> real]" restriction_continuous2 nil)
(T1 formal-subtype-decl nil restriction_continuous2 nil)
(T1_pred const-decl "[real -> boolean]" restriction_continuous2
nil)
(T2 formal-subtype-decl nil restriction_continuous2 nil)
(T2_pred const-decl "[real -> boolean]" restriction_continuous2
nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(sub_dom formula-decl nil restriction_continuous2 nil)
(continuous? const-decl "bool" continuous_functions nil))
nil)
(restrict_continuous2-1 nil 3474623795
("" (skosimp)
(("" (auto-rewrite "sub_dom")
(("" (expand "continuous")
(("" (skolem!)
(("" (inst?)
(("" (rewrite "continuity_def[T2]")
(("" (rewrite "continuity_def[T1]")
(("" (expand "restrict2")
(("" (skolem!)
(("" (inst -1 "epsilon!1")
(("" (skolem!)
(("" (inst 1 "delta!1")
(("" (skosimp)
(("" (inst?)
((""
(assert)
nil))))))))))))))))))))))))))))
nil)
nil nil)))
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